Chapter 5.3, Problem 61E

(a)

To determine

To calculate: The daily oxygen consumption $20$ days after the egg was laid where the oxygen consumption can be approximated by $c\left(t\right)=-0.065t^3+3.4t^2-22t+3.6$ milliliters per day $\left(8\le t\le 30\right)$ where $t$ is the time (in days) since the egg was laid.

(b)

To determine

To calculate: The rate at which the oxygen consumption is changing $20$ days after the egg was laid where the oxygen consumption can be approximated by $c\left(t\right)=-0.065t^3+3.4t^2-22t+3.6$ milliliters per day $\left(8\le t\le 30\right)$ where $t$ is the time (in days) since the egg was laid.

(c)

To determine

To calculate: The rate at which the oxygen consumption is accelerating $20$ days after the egg was laid where the oxygen consumption can be approximated by $c\left(t\right)=-0.065t^3+3.4t^2-22t+3.6$ milliliters per day $\left(8\le t\le 30\right)$ where $t$ is the time (in days) since the egg was laid.